Unbounded fluctuations in transport through an integrable cavity

Details Unbounded fluctuations in transport through an integrable cavity Unbounded fluctuations in transport through an integrable cavity

1998-12-02

arxiv.org/abs/cond-mat/9812046v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages + 3 figures, accepted for Eur. Phys. J. B

Scientific paper

We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are obtained from the evaluation of a finite number of continued fractions. We find that, contrary to the chaotic case, the conductance fluctuations increase with the incoming energy and the correlation function exhibits a singularity at the origin.

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